Answer: 257.143 square centimeter (approx)
Step-by-step explanation:
Here, Three plates are stored in an L-shaped drawer, as shown so that they fit snuggly inside, with no spaces between the edges of the drawer and the plates.
Therefore,
Total area of L- shaped drawer which is not covered by these plates = Total covered area of the L-shaped drawer - Total area of three plates.
Since, the total area of L-shaped drawer= area of square of side 20 cm+ area of rectangle of length 40 and breadth 20. ( by the given diagram)
Thus, the total area of L-shaped drawer= 
= 400+800
=1200 square cm
Here, the shape of plates are circular and having the radius of 10 cm. ( by the given diagram)
Therefore area of three circular plates = 
=
square cm
Total area of L- shaped drawer which is not covered by these plates =
=257.142857143≈ 257.143 square cm.
Answer:
<u>12.5% ≈ 13%</u>
Step-by-step explanation:
The rest of the question is: There are 75 pills in the batch.
The current batch of pills is the first of the day and our goal is to produce a total of 600.
If there are 75 pills in the batch so percentage of goal completed will be
[(number of pills in the batch)/(Total pills)] * 100

≈ 13% to the nearest whole number
Answer:
The length of the rectangle is;
5x(x+13)/(x-5)
Step-by-step explanation:
Mathematically, we know that the area of a rectangle is the product of the length and width of the triangle
To find the length of the rectangle, we will have to divide the area by the width
we have this as;
(x^2 + 15x + 26)/6x^2 divided by (x^2-3x-10)/30x^3
thus, we have ;
(x^2 + 15x + 26)/6x^2 * 30x^3/(x^2-3x-10)
= (x^2+15x+ 26)/(x^2-3x-10) * 5x
But;
(x^2 + 15x + 26) = (x+ 2)(x+ 13)
(x^2-3x-10) = (x+2)(x-5)
Substituting the linear products in place of the trinomials, we have;
(x+2)(x+13)/(x+2)(x-5) * 5x
= 5x(x+13)/(x-5)
Answer:
105
Step-by-step explanation:
First find the third angle inside the triangle:
180 - 30 - 75 = 75
Then find x:
180 - 75 = 105